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Finding the Fourth Proportional to 4,086, 6,130.80 and 1,350

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Solution

The fourth proportional to 4,086, 6,130.80 and 1,350 is: 2,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086 : 6,130.80 = 1,350 : x
  2. Step 2: Convert to fraction form
    4,086/6,130.80 = 1,350/x
  3. Step 3: Cross multiply
    4,086x = 6,130.80 × 1,350
  4. Step 4: Simplify right side
    4,086x = 8,276,580
  5. Step 5: Solve for x
    x = 8,276,580/4,086
  6. Step 6: Final answer
    x = 2,025.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.